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630822905856 = 21133111379777
BaseRepresentation
bin10010010110111111111…
…10011010100000000000
32020022021010120220111000
421023133332122200000
540313411130441411
61201443540052000
763401244141213
oct11133776324000
92208233526430
10630822905856
112235920a2a10
12a2311394000
1347642665440
1422763adb77a
1511620d45956
hex92dff9a800

630822905856 has 384 divisors, whose sum is σ = 2195362915200. Its totient is φ = 176451747840.

The previous prime is 630822905819. The next prime is 630822905863. The reversal of 630822905856 is 658509228036.

630822905856 is a `hidden beast` number, since 6 + 30 + 8 + 2 + 29 + 0 + 585 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7867440 + ... + 7947216.

It is an arithmetic number, because the mean of its divisors is an integer number (5717090925).

Almost surely, 2630822905856 is an apocalyptic number.

630822905856 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 630822905856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097681457600).

630822905856 is an abundant number, since it is smaller than the sum of its proper divisors (1564540009344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

630822905856 is a wasteful number, since it uses less digits than its factorization.

630822905856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79832 (or 79806 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 630822905856 in words is "six hundred thirty billion, eight hundred twenty-two million, nine hundred five thousand, eight hundred fifty-six".